Adam scores a total of 68 marks.
There are a total of 35 questions.
Every correct answer will earn 4 marks.
Every blank or wrong answer will have 2 marks deducted.
How many questions are (a) incorrectly answered and (b) correctly answered?
Number of correct answers |
Marks earned
|
Number of incorrect answers |
Marks deducted
|
Total score
|
35 |
35 x 4 = 140 |
0 |
0 |
140 - 0 = 140 |
34 |
34 x 4 = 136 |
1 |
1 x 2 = 2 |
136 - 2 = 134 |
23 |
92 |
12 |
12 x 2 = 24 |
92 - 24 = 68 |
(a)
Total score if Adam answers all the questions correctly
= 35 x 4
= 140
Total score if Adam answers one question wrongly
= 136 - 2
= 134
Big difference in total score
= 140 - 68
= 72
Small difference in total score
= 4 + 2
= 6
Number of questions answered incorrectly
= 72 ÷ 6
= 12
(b)
Number of questions answered correctly
= 35 - 12
= 23
Answer(s): (a) 12; (b) 23